The statement about subtracting a negative number can be clarified using mathematical principles. Let's break it down:
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Subtracting a negative number: When you subtract a negative number, it is equivalent to adding the positive of that number. For example: \[ a - (-b) = a + b \]
This means that instead of subtracting \(-b\), you add \(b\).
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Opposite of the number: The opposite of a number \(b\) is \(-b\). So, adding the opposite of \(b\) would mean: \[ a + (-b) \] But this is not the same as subtracting a negative.
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Adding the same number: Adding the same number \(b\) to \(a\) would simply be: \[ a + b \]
So, the correct interpretation is that subtracting a negative number is equivalent to adding the same positive number, not the opposite. Therefore:
- Subtracting a negative number \( (-b) \) results in adding the positive number \( b \).
- The phrase "subtracting the opposite of the number" is ambiguous, but generally, it would mean adding the same number.
In conclusion, subtracting a negative number is the same as adding the positive number.